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10769905368 = 233371838461
BaseRepresentation
bin10100000011110111…
…11011011011011000
31000210120110212202000
422001323323123120
5134024043432433
64540404241000
7530613454005
oct120173733330
930716425660
1010769905368
114627370342
1221069a0160
131028364291
147424d68ac
1543078d113
hex281efb6d8

10769905368 has 128 divisors (see below), whose sum is σ = 30706905600. Its totient is φ = 3496348800.

The previous prime is 10769905327. The next prime is 10769905369. The reversal of 10769905368 is 86350996701.

10769905368 is a `hidden beast` number, since 10 + 7 + 6 + 9 + 90 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10769905369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268658 + ... + 1277118.

It is an arithmetic number, because the mean of its divisors is an integer number (239897700).

Almost surely, 210769905368 is an apocalyptic number.

10769905368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10769905368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353452800).

10769905368 is an abundant number, since it is smaller than the sum of its proper divisors (19937000232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10769905368 is a wasteful number, since it uses less digits than its factorization.

10769905368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 10769905368 in words is "ten billion, seven hundred sixty-nine million, nine hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 83 108 142 166 213 216 249 284 332 426 498 568 639 664 747 852 996 1278 1494 1704 1917 1992 2241 2556 2988 3834 4482 5112 5893 5976 7668 8461 8964 11786 15336 16922 17679 17928 23572 25383 33844 35358 47144 50766 53037 67688 70716 76149 101532 106074 141432 152298 159111 203064 212148 228447 304596 318222 424296 456894 600731 609192 636444 702263 913788 1201462 1272888 1404526 1802193 1827576 2106789 2402924 2809052 3604386 4213578 4805848 5406579 5618104 6320367 7208772 8427156 10813158 12640734 14417544 16219737 16854312 18961101 21626316 25281468 32439474 37922202 43252632 49860673 50562936 64878948 75844404 99721346 129757896 149582019 151688808 199442692 299164038 398885384 448746057 598328076 897492114 1196656152 1346238171 1794984228 2692476342 3589968456 5384952684 10769905368